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Synchronization in networks with random interactions : theory and applications
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UNSPECIFIED (2006) Synchronization in networks with random interactions : theory and applications. Chaos, Volume 16 (Number 1). doi:10.1063/1.2180690 ISSN 1054-1500.
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Official URL: http://dx.doi.org/10.1063/1.2180690
Abstract
Synchronization is an emergent property in networks of interacting dynamical elements. Here we review some recent results on synchronization in randomly coupled networks. Asymptotical behavior of random matrices is summarized and its impact on the synchronization of network dynamics is presented. Robert May's results on the stability of equilibrium points in linear dynamics are first extended to systems with time delayed coupling and then nonlinear systems where the synchronized dynamics can be periodic or chaotic. Finally, applications of our results to neuroscience, in particular, networks of Hodgkin-Huxley neurons, are included. (C) 2006 American Institute of Physics.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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| Journal or Publication Title: | Chaos | ||||
| Publisher: | American Insitute of Physics | ||||
| ISSN: | 1054-1500 | ||||
| Official Date: | March 2006 | ||||
| Dates: |
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| Volume: | Volume 16 | ||||
| Number: | Number 1 | ||||
| Number of Pages: | 21 | ||||
| DOI: | 10.1063/1.2180690 | ||||
| Publication Status: | Published |
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